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311274912 = 25313249419
BaseRepresentation
bin10010100011011…
…010110110100000
3210200201101220110
4102203122312200
51114141244122
650515411320
710466536014
oct2243326640
9720641813
10311274912
1114a7854a3
12882b3b40
134c647a50
142d4aa544
151c4d990c
hex128dada0

311274912 has 48 divisors (see below), whose sum is σ = 879953760. Its totient is φ = 95776512.

The previous prime is 311274907. The next prime is 311274917. The reversal of 311274912 is 219472113.

It is an interprime number because it is at equal distance from previous prime (311274907) and next prime (311274917).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 311274912.

It is not an unprimeable number, because it can be changed into a prime (311274917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123462 + ... + 125957.

It is an arithmetic number, because the mean of its divisors is an integer number (18332370).

Almost surely, 2311274912 is an apocalyptic number.

311274912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

311274912 is an abundant number, since it is smaller than the sum of its proper divisors (568678848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311274912 is a wasteful number, since it uses less digits than its factorization.

311274912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249445 (or 249437 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 311274912 is about 17642.9847814932. The cubic root of 311274912 is about 677.7164693647.

The spelling of 311274912 in words is "three hundred eleven million, two hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 249419 498838 748257 997676 1496514 1995352 2993028 3242447 3990704 5986056 6484894 7981408 9727341 11972112 12969788 19454682 23944224 25939576 38909364 51879152 77818728 103758304 155637456 311274912